Abstract
The canonical thermomechanics on the material manifold is enriched by the introduction of dual weakly non-local internal variables and extra entropy fluxes. In addition to the dissipative reaction-diffusion equation for a single internal variable of state, a hyperbolic evolution equation for the internal degree of freedom can be also recovered in the non-dissipative case. It is demonstrated that the Mindlin mi-cromorphic theory can be represented in terms of dual internal variables in a natural way in the framework of the canonical thermomechanics.
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Berezovski, A., Engelbrecht, J., Maugin, G.A. (2009). Internal Variables and Generalized Continuum Theories. In: Steinmann, P. (eds) IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics. IUTAM Bookseries, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3447-2_14
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DOI: https://doi.org/10.1007/978-90-481-3447-2_14
Publisher Name: Springer, Dordrecht
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